Answer:
a) 0.857
b) 0.571
c) 1
Step-by-step explanation:
Based on the data given, we have
- 18 juniors
- 10 seniors
- 6 female seniors
- 10-6 = 4 male seniors
- 12 junior males
- 18-12 = 6 junior female
- 6+6 = 12 female
- 4+12 = 16 male
- A total of 28 students
The probability of each union of events is obtained by summing the probabilities of the separated events and substracting the intersection. I will abbreviate female by F, junior by J, male by M, senior by S. We have
- P(J U F) = P(J) + P(F) - P(JF) = 18/28+12/28-6/28 = 24/28 = 0.857
- P(S U F) = P(S) + P(F) - P(SF) = 10/28 + 12/28 - 6/28 = 16/28 = 0.571
- P(J U S) = P(J) + P(S) - P(JS) = 18/28 + 10/28 - 0 = 1
Note that a student cant be Junior and Senior at the same time, so the probability of the combined event is 0. The probability of the union is 1 because every student is either Junior or Senior.
In any triangle, the longest side is the one that is opposite the largest angle.
Therefore, the longest side is "a".
2x + 1 > 15
2x > 15 - 1
2x > 14
x > 14/2
x > 7 <=== simplified form
For 3 you have to subtract 72 on both sides
+72 -2X=54
-72 -72
72-72 cancels out and then subtract the 54 from -72 the answer for that then should be divided by -2
and then X= (the answer)
and the -72 goes under 54 not -2x
